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Finding the Fourth Proportional to 419,147.46, 577,321.63 and 322,165.86

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Solution

The fourth proportional to 419,147.46, 577,321.63 and 322,165.86 is: 443,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,147.46 : 577,321.63 = 322,165.86 : x
  2. Step 2: Convert to fraction form
    419,147.46/577,321.63 = 322,165.86/x
  3. Step 3: Cross multiply
    419,147.46x = 577,321.63 × 322,165.86
  4. Step 4: Simplify right side
    419,147.46x = 185,993,316,455.18
  5. Step 5: Solve for x
    x = 185,993,316,455.18/419,147.46
  6. Step 6: Final answer
    x = 443,741.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.